<span>If "ALABAMA" were written so that the A's were of different colors, the number of permutations would be 7!. However,
since the four A's look exactly alike in "ALABAMA", the number of
distinguishable permutations is much smaller. So what we do is start
with the 7! arrangements of "ALABAMA", and divide by the number of ways
the four A's can be arranged within each permutation, so that in effect
they will all be counted only once.
So the answer is
=7!/4!
</span><span>=5040/24
= 210. </span>
Answer:
x = 22
y = 35
Step-by-step explanation:
Because its an isosceles triangle, you know the base angles are equal so:
Solving:
subtract 2x from both sides
add 11 to both sides
Next, find the angle measures of the two base angles:
To find y, you know that the interior angles of the whole triangle add up to 180, so you have
solving,
subtract 110 from both sides
divide both sides by 2
Answer:
34
Step-by-step explanation:
The triangle with the 28 degree angle is an isosceles as it has 2 sides which are the same length. This means the other angle opposite to one of the sides that is the same length is also 28. The sum of all the angles in the triangle is 180. To find the 3rd angle we just add the two 28 degree angles and subtract it from 180. 180-56=124. The angle of 124 is on a straight line which is divided by another line. The other side of the lines angle will be 180-124 as the angle of a straight line is 180 degrees. 180-124=56. Now we have two angles in the triangle which contains x, 90 degrees and 56 degrees. Once more the total of all angles in the triangle is 180 so subtract the other two angles to get x, 180-(90+56)=34.
Answer:
Below.
Step-by-step explanation:
There are 3 pairs of rectangles in the surface area.
So it is 2 * 4 *4 + 2 * 4*5 + 2 * 4 * 5
= 32 + 40 + 40
= 112 yd^2.